67151952 has 180 divisors, whose sum is σ = 226402176. Its totient is φ = 18506880.

The previous prime is 67151951. The next prime is 67151963. The reversal of 67151952 is 25915176.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (18900) is a multiple of the sum of its prime divisors (350).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67151951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 218583 + ... + 218889.

Almost surely, 2^67151952 is an apocalyptic number.

67151952 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67151952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113201088).

67151952 is an abundant number, since it is smaller than the sum of its proper divisors (159250224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67151952 is a wasteful number, since it uses less digits than its factorization.

67151952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 350 counting only the distinct ones).

The product of its digits is 18900, while the sum is 36.

The square root of 67151952 is about 8194.6294608115. The cubic root of 67151952 is about 406.4616231704.

The spelling of 67151952 in words is "sixty-seven million, one hundred fifty-one thousand, nine hundred fifty-two".